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Finding the Third Proportional to 277,364 and 406,173

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Solution

The third proportional to 277,364 and 406,173 is: 594,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,364 : 406,173 = 406,173 : x
  2. Step 2: Convert to fraction form
    277,364/406,173 = 406,173/x
  3. Step 3: Cross multiply
    277,364x = 406,173 × 406,173
  4. Step 4: Simplify right side
    277,364x = 164,976,505,929
  5. Step 5: Solve for x
    x = 164,976,505,929/277,364
  6. Step 6: Final answer
    x = 594,801.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.